Ludwig Dmitrijewitsch Faddejew

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Ludwig Faddejew in Crete, 1983
Faddejew at a lecture in Aarhus 2010

Ludwig Dmitrijewitsch Faddejew ( Russian Людвиг Дмитриевич Фаддеев , quoted from the English spelling Ludvig Faddeev ; born March  23, 1934 in Leningrad ; † February 26, 2017 ibid) was a leading Soviet and Russian theoretical physicist and mathematician .


Faddeev's father Dmitri Faddejew (1907-1989) was a mathematics professor in Leningrad, a corresponding member of the Academy of Sciences of the USSR and a well-known algebraic , his mother Vera Faddejewa was also a well-known mathematician. Faddejew studied from 1951 at the University of Leningrad with Olga Ladyschenskaja (known for her work on partial differential equations of hydrodynamics ) and the physicist Vladimir Fock . He graduated in 1956, after obtaining his doctorate in 1959, he worked at the Steklov Institute in Leningrad, where he became a professor in 1969, was vice director from 1976 to 1987 and then director. He was also director of the International Mathematical Euler Institute, founded there in 1988.

Faddejew is best known for the introduction (with his colleague Viktor Nikolajewitsch Popow ) of Faddejew-Popow-Geistes for the treatment of the calibration degrees of freedom in Yang-Mills theories (non- Abelian calibration theories ). In the 1960s he introduced the Faddejew equations for the exact treatment of the three-body problem in quantum mechanics . From the 1970s onwards, he was primarily concerned with exactly solvable ("integrable") models of mathematical physics (keywords here are Yang - Baxter relations and the Bethe approach ), behind which the structure of quantum groups is often hidden . He was instrumental in clearing up these connections. In 1975 he developed a method for quantizing solitons. He also dealt with the mathematical treatment of the infrared problem in quantum electrodynamics and with the theory of magnetically confined plasmas .

In 1962 he was invited speaker at the ICM in Stockholm (Construction of the resolvent of the energy operator for a three particle system and the scattering problem) , in 1970 in Nice (Symplectic structure and quantization of the Einstein gravitation theory) and in 1978 at the ICM in Helsinki (Quantum theory of solitons) . In 2002 he gave a plenary lecture at the International Congress of Mathematicians in Beijing (Knotted Solitons).

Faddejew visited the theory department at CERN for the first time in 1973 and made several other visits.

His doctoral students include Pyotr Petrovich Kulisch , Alexander Rudolfovich Its , Nikolai Reschetichin , Vladimir Korepin , Vladimir Buslajew , Leon Tachtajjan , Alexei Wenkow and Samson Shatashvili .

Prizes and awards (selection)

Memberships (selection)


  • with Popov Feynman diagrams for the Yang-Mills field , Physics Letters B, Vol. 25, 1967, p. 29 (Faddeev-Popov-Geister)
  • Mathematical aspects of the three body problem in quantum scattering theory , Steklow Institute 1965 (Faddeev equations)
  • with Kulisch Asymptotic conditions and infrared divergences in quantum electrodynamics , Theoretical and mathematical physics Vol. 4, 1970, p. 745.
  • 40 years in mathematical physics , World Scientific 1995 (collection of articles with commentary)
  • 50 years of mathematical physics (Ed. Mo-Lin Ge, Antti Niemi), World Scientific 2016 (further collection of articles without overlap with the one from 1995)
  • with Merkurjew Quantum scattering theory of several particle systems , Kluwer 1993
  • with Andrei Slavnov Gauge fields - introduction to quantum theory , 2nd edition, Addison-Wesley, 1991 (Russian first 1978, English first Gauge theories 1980, Benjamin-Cummings)
  • with Takhtajan Hamiltonian methods in the theory of solitons , Springer 1987
  • with Korepin Quantum Theory of Solitons , Physics Reports, Volume 42, 1978, pp. 1-87
  • Functional methods , in Balian, Zinn-Justin (Ed.) Les Houches Lectures 1975
  • with OA Yakubovskii Lectures on quantum mechanics for mathematics students , American Mathematical Society 2009
  • How I came to work with Victor Popov , Journal Mathematical Sciences, Vol. 88, 1998, No. 2 (Russian original as an obituary for Popov 1995, origin of Faddeev's most famous work).
  • What mathematical physics is supposed to be , in Bolibruch, Osipov, Sinai (editor) Mathematical Events of the Twentieth Century , Springer 2006, p. 75
  • Ludwig Faddeev: Modern Mathematical Physics: what it should be? February 8, 2000, arxiv : math-ph / 0002018v2 .
  • Ludwig Faddeev: How Algebraic Bethe approach works for integrable model . May 26, 1996, arxiv : hep-th / 9605187 .


  • Physikalische Blätter 1996, p. 258 on the award of the Max Planck Medal
  • Wladimir Arnold , SP Novikov , Ossipov, Marchuk, Kulish, Gonchar, Mishchenko Ludwig Faddeew , Russian Mathematical Surveys Vol. 50, 1995, pp. 643-669 (for his 60th birthday)
  • I. Ya. Aref'eva, VE Zakharov, VV Kozlov, IM Krichever, VP Maslov, SP Novikov, AM Polyakov, N. Yu. Reshetikhin, MA Semenov-Tian-Shansky, EK Sklyanin, FA Smirnov, LA Takhtajan, SL Shatashvili: Ludwig Dmitrievich Faddeev (obituary) , Russ. Math. Surveys, Volume 72, 2017, No. 6
  • Alexander Its, Nicolai Reshetikhin: Preface: Introduction to special issue: In memory of Ludwig Faddeev, Journal of Mathematical Physics, Volume 59, 2018, No. 9

Web links

Commons : Ludwig Dmitrijewitsch Faddejew  - Collection of pictures, videos and audio files

References and comments

  1. Obituary (English) , accessed on April 27, 2017
  2. In a 2007 interview, he said that he first studied physics to avoid the influence of his father
  3. Irina Aref'eva, Andrey Slavnov: Obituaries - April 13, 2017: Ludwig Faddeev 1934–2017 . CERN Courier. Retrieved July 24, 2019.
  4. Faddeev, Ludvig Dmitrievich - Author profile . INSPIRE-HEP . Retrieved July 24, 2019.
  5. ^ Mathematics Genealogy Project